Abstract
We discuss, within mean field theory, the possible phase diagrams of a quantum lattice gas model (as considered by Matsuda and Tsuneto atT=0) with particular reference to the existence of a supersolid phase, displaying both long-range diagonal (or crystalline) order and long-range off-diagonal order (as characteristic of a superfluid). For parameter ranges which provide a reasonable representation of the known phase diagram of4He, we show that a supersolid phase may appear between the usual solid and superfluid phases. Such a phase might not, however, extend down to absolute zero.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
G. V. Chester,Lectures in Theoretical Physics, Vol. XI-B, K. T. Mahanthappa and W. E. Britten, eds. (Gordon and Breach, New York, 1969), p. 253; see alsoPhys. Rev. A2, 256 (1970).
A. F. Andreev and I. M. Lifshitz,Zh. Eksperim. i Teor. Fiz. 56, 2057 (1969) [English transl.,Soviet Phys.—JETP 29, 1107 (1969)].
A. J. Leggett,Phys. Rev. Letters 25, 1543 (1970).
R. A. Guyer,Phys. Rev. Letters 26, 174 (1971).
W. Mullin,Phys. Rev. Letters 26, 611 (1971);Phys. Rev. A3, 1247 (1971).
H. Matsuda and T. Tsuneto,Proceedings of the Twelfth International Conference on Low Temperature Physics, E. Kanda, ed., p. 145; see alsoProgr. Theoret. Phys. (Kyoto), Suppl. No. 46, 411 (1970).
J. Sarfatt,Physics Letters 30A, 300 (1969).
T. Matsubara and H. Matsuda,Progr. Theoret. Phys. (Kyoto)16, 569 (1956);17, 19 (1957).
P. R. Zilsel,Phys. Rev. Letters 15, 476 (1965); see also R. Whitlock and P. R. Zilsel,Phys. Rev. 131, 2409 (1963).
M. E. Fisher,Reports on Prog. in Phys. 30, 615 (1967).
C. J. Gorter and Tineke van Peski-Tinbergen,Physica 22, 273 (1956).
See, for example, N. J. Poulis and G. E. Handeman,Physica,20, 7 (1954); G. J. Butterworth and V. S. Zidell,J. Appl. Phys. Suppl. 40, 1033 (1969); K. W. Blazey, H. Rohrer, and R. Webster,Phys. Rev. B4, 2287 (1971).
K. Motizuki,J. Phys. Soc. Japan 14, 759 (1959); R. Bidaux, P. Carrera, and B. Vivet,J. Phys. Chem. Solids 28, 2453 (1967).
L. D. Landau,Physik Z. Sowjetunion 11, 26 (1963); reprinted in Collected Papers of L. D. Landau, D. ter Haar, ed. (Gordon and Breach, New York, 1965), p. 193.
A. Andreev, K. Keshishev, L. Mezhov-Deglin, and A. Shalmikov,ZhETF Pis. Red. 9, 507 (1969) [English transl.,JETP Letters 9, 306 (1969)].
N. R. Werthamer,Phys. Rev. Letters 28, 1102 (1972).
D. S. Miyoshi, R. M. Cotts, A. S. Greenberg, and R. C. Richardson,Phys. Rev. A2, 870 (1970).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Liu, KS., Fisher, M.E. Quantum lattice gas and the existence of a supersolid. J Low Temp Phys 10, 655–683 (1973). https://doi.org/10.1007/BF00655458
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00655458